To build a door frame, Anthony needs 2 pieces of lumber that each measure 98 1/4 inches and one piece of lumber that measure 39 1/2 inches. What is the total length of lumber that Anthony needs to build the frame?
A. 137 3/4 inches
B. 235 1/3 inches
C. 235 3/10 inches
D. 236 inches
The correct answer is D
98 1/4 + 39 1/2
First, find the LCD (4)
98 1/4 + 39 2/4
98 + 39 = 137
1/4 + 2/4 = 3/4
A is correct. 137 3/4 inches
Agree with Kon. Morgan missed the fact that 2 boards were needed at 98 1/4.
98.25 + 98.25 + 39.5 = 236
To find the total length of lumber that Anthony needs, we need to add up the lengths of all the pieces of lumber.
- For the 2 pieces that measure 98 1/4 inches each, we add 98 1/4 + 98 1/4.
To add these fractions, make sure they have the same denominator. In this case, we need to convert the whole numbers to fractions with a denominator of 4:
98 1/4 becomes (4 * 98) / 4 + 1/4 = 392/4 + 1/4 = 393/4
So, 98 1/4 inches is equivalent to 393/4 inches.
Now we can add the lengths:
393/4 + 393/4 = (393 + 393) / 4 = 786/4 = 196 1/2 inches.
- For the third piece that measures 39 1/2 inches, we add it to the previous result.
39 1/2 inches is already in fractional form, so we can directly add it:
196 1/2 + 39 1/2 = 235/2 + 79/2 = (235 + 79) / 2 = 314/2 = 157 inches.
Therefore, the total length of lumber that Anthony needs to build the frame is 157 inches.
Since none of the answer choices matches 157 inches, we need to convert it into mixed fraction form:
157 inches is equivalent to 156 1/2 inches.
Among the given answer choices:
A. 137 3/4 inches - Not a match
B. 235 1/3 inches - Not a match
C. 235 3/10 inches - Not a match
D. 236 inches - Not a match
There is no match among the given answer choices.